Find the volume $V$ of a sphere if diameter $d = 0.5 cm$ .

Answer

$0.0208 π cm^{3}$

Explanation

STEP 1: find radius $r$

To find radius $r$ use formula:

d = 2 \cdot r

After substituting $d = 0.5 cm$ we have:

0.5 cm = 2 \cdot r

r = \frac{0.5 cm}{2}

r = 0.25 cm

STEP 2: find volume $V$

To find volume $V$ use formula:

V = \frac{4 \cdot r ^{3} \cdot π}{3}

After substituting $r = 0.25 cm$ we have:

V = \frac{4 \cdot ( 0.25 cm ) ^{3} \cdot π}{3}

V = \frac{4 \cdot 0.0156 cm ^{3} \cdot π}{3}

V = \frac{0.0625 cm ^{3} \cdot π}{3}

V = 0.0208 cm^{3} \cdot π

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Find the volume V of a sphere if diameter d=0.5cm.

0.0208πcm3

Find the volume $V$ of a sphere if diameter $d = 0.5 cm$ .

$0.0208 π cm^{3}$